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Macroeconomists want to understand the effects of fiscal policy on interest rates, while financial economists look for the factors that drive the dynamics of the yield curve. To shed light on both issues, we present an empirical macro-finance model that combines a no-arbitrage affine term structure model with a set of structural restrictions that allow us to identify fiscal policy shocks, and trace the effects of these shocks on the prices of bonds of different maturities. Compared to a standard VAR, this approach has the advantage of incorporating the information embedded in a large cross-section of bond prices. Moreover, the pricing equations provide new ways to assess the model's ability to capture risk preferences and expectations. Our results suggest that (i) government deficits affect long term interest rates: a one percentage point increase in the deficit to GDP ratio, lasting for 3 years, will eventually increase the 10-year rate by 40--50 basis points; (ii) this increase is partly due to higher expected spot rates, and partly due to higher risk premia on long term bonds; and (iii) the fiscal policy shocks account for up to 12% of the variance of forecast errors in bond yields.
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Though linear projections of returns on the slope of the yield curve have contradicted the implications of the traditional expectations theory,' we show that these findings are not puzzling relative to a large class of richer dynamic term structure models. Specifically, we are able to match all of the key empirical findings reported by Fama and Bliss and Campbell and Shiller, among others, within large subclasses of affine and quadratic-Gaussian term structure models. Additionally, we show that certain risk-premium adjusted' projections of changes in yields on the slope of the yield curve recover the coefficients of unity predicted by the models. Key to this matching are parameterizations of the market prices of risk that let the risk factors affect the market prices of risk directly, and not only through the factor volatilities. The risk premiums have a simple form consistent with Fama's findings on the predictability of forward rates, and are shown to also be consistent with interest rate, feedback rules used by a monetary authority in setting monetary policy.
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This paper characterizes, interprets, and tests the over-identifying restrictions imposed in affine models of the term" structure. Letting r(t) = ë Y(t), where Y is an unobserved vector affine process, our analysis proceeds in three steps. First, we show that affine models can be categorized according to the different over-identifying restrictions they impose on (i) ë, and (ii) the parameters of the diffusion matrices. Second, this formulation is shown to be equivalent to a model in which there is a terraced drift structure with one of the state variables being the stochastic long-run mean of r. This equivalence allows direct comparisons of the substantive restrictions on the dynamics of interest rates imposed in CIR-style models and models in which the state variables are the stochastic long-run mean and volatility of r. Third, we compute simulated method of moments estimates of a three-factor affine term structure model, and test the over-identifying restrictions on the joint distribution of long- and short-term interest rates implied by extant affine models of r. We find allowing for correlated factors is key to simultaneously describing the short and long ends of the yield curve. This finding is interpreted in terms of the properties of the risk factors underlying term structure movements.
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